Answer: x = $11,900
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Joshua’s earnings: g(x)=175+0.05x
Caleb's earnings: f(x)=532+0.02x.
So, if both earnings are equal:
g(x) =f (x)
175+0.05x =532+0.02x
Solving for x:
0.05x-0.02x = 532-175
0.03x= 357
x = 357 /0.03
x = $11,900
Feel free to ask for more if needed or if you did not understand something.
Customer #2 has the smallest total bill, including tax and tip.
Choice A, 1.06b + 0.16(1.06b), is correct.
Customer 3's bill is approximately 10% less than customer 1's bill.
Customer 2 leaves the bigger tip.
For customer #1:
(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.
For customer #2:
1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.
For customer #3:
1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.
Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.
Answer: The length of STV is about 76.83 in.
Step-by-step explanation:
The length of an arc is given by :-
, where r= radius of the cirle, 
is the central angke made by arc.
As per given , Radius of the circle : r= 20 in
Central angle of arc SCV = 
Then, Central angle of arc SCV = 
Then, the length of the arc STV =
Hence, the length of STV is about 76.83 in.
The answer of the problem is 3.6
